Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model. II - Correction to the Hubble law behind clusters

Details Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model. II - Correction to the Hubble law behind clusters Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model. II - Correction to the Hubble law behind clusters

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...114..261n&link_type=abstract

Astronomy and Astrophysics, vol. 114, no. 2, Oct. 1982, p. 261-269.

Astronomy and Astrophysics

Astrophysics

19

Astronomical Models, Galactic Clusters, Perturbation Theory, Red Shift, Relativity, Einstein Equations, Inhomogeneity, Magnitude, Schwarzschild Metric

Scientific paper

An exact solution of Einstein equations in which (1) a cluster is represented by a Friedmann model section of higher density than the background, from which the cluster is (2) separated by a Schwarzschild vacuole, and in which (3) boundaries are comoving hypersurfaces, is used to study possible perturbations to the magnitude-redshift relation by clusters of galaxies. Model redshift effects have already been computed by Nottale (1982), and the present consideration of magnitude effects is for the case of a radial beam which starts behind the inhomogeneity, crosses the high density region, and finally reaches the observer lying in the background Friedmann model. This radial beam results in a global displacement of the magnitude-redshift relation, with respect to the homogeneous-isotropic case, which is expressed by a formula that is valid for medium density clusters or superclusters of galaxies.

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